Will this computer support 2 monitors?

Yes, this computer can support 2 monitors as it has 2 Display Ports.

Questions & Answers: Refurbished: Dell 5070 Small Desktop Computer (SFF) | Hexa Core Intel i5-9500 | 16GB DDR4 RAM | 500GB SSD Solid State + 1TB HDD | WiFi + Bluetooth

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[INTEL POWERED MULTITASKING] - Built with a Hexa-core Intel i5 and 16GB of DDR4 RAM; multitasking, media streaming and smooth, multi-tab web browsing; Perfect as an all purpose home or office computer, remote learning, work from home computer, or HTPC streaming media center
[LATEST WIRELESS TECH] - This DELL Desktop Computer easily connects to the internet through the included WIFI adapter, high-speed Local LAN Connection, and comes with Bluetooth connectivity for seamless integration of any Bluetooth devices
[SOLID STATE STORAGE + HDD] - This Dell Computer setup comes with an ultra-fast 500GB SSD; Setup as the primary boot device; Boot and load programs with lightning speed + 1TB Hard Disk Drive (HDD) for mass storage for multimedia and content storage
[MODERN HI-SPEED PORTS & Connections] - Bluetooth (x1) | USB 3.0 (x5) | USB 2.0 (x4) | USB Type-C (x1) | Display Port (x2) | Audio Out/In Combo Jack (x1) | Audio Out (x1) | Audio In (x1) | RJ-45 Ethernet (x1) | Internal Sata Ports (x3)